{
  "annotation_id": "2e2622c8-616a-455d-875b-75131ba63051",
  "date_created": "2026-03-02T18:01:00.750000Z",
  "date_modified": "2026-03-02T18:01:00.750000Z",
  "file_hash": "1f9df6d12cf32393d9f698737444d2bb9e7275521e5bff3754f08119d19350b7",
  "private": false,
  "record": {
    "abstract": "We study an orbit of the electromagnetic two-body problem that involves a\nfast (stiff) spinning motion about a circular orbit. We give a multiscale\nmethod of solution that solves for the fast timescale first. The solvability\ncondition of the asymptotic expansion demands resonances for the fast dynamics.\nThe stiff resonant tori are found precisely in the atomic magnitude and agree\nwith many features of the Bohr atom in quantitative and qualitative detail; We\ncalculate every first emission line of the first 13 observable spectroscopic\nseries of hydrogen within a few percent deviation. The resonant orbits have\nangular momenta that are approximate multiples of Planck\u0027s constant and the\nemitted frequencies are given by a difference of two linear eigenvalues. This\nLorentz-invariant two-body dynamics exhibts the phenomenon of resonant\ndissipation, i.e., the metastable dynamics radiates the center-of-mass energy\nwhile the particles perform fast spinning oscillations of small amplitude about\na circular orbit, a collective radiative recoil.",
    "arxiv_id": "physics/0507033",
    "authors": [
      "Jayme De Luca"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "title": "Stiff spinning torus of electromagnetic two-body motion",
    "url": "https://arxiv.org/abs/physics/0507033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a5512565-76ad-42cc-88b8-832b19fcbf35",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}